The Integers 2001 to 2100

  • Count(d(N)) is the number of positive divisors of n, including 1 and n itself.
  • σ(N) is the Divisor Function. It represents the sum of all the positive divisors of n, including 1 and n itself.
  • s(N) is the Restricted Divisor Function. It represents the sum of the proper divisors of n, excluding n itself.
  • For a Prime Number, Count(d(N))=2. The only divisors for a Prime Number are 1 and itself.
  • A Deficient Number is greater than the sum of its proper divisors; that is, s(N)<n.
  • An Abundant Number is less than the sum of its proper divisors; that is, s(N)>n.
  • A Perfect Number equals the sum of its proper divisors; that is, s(N)=n.
N Divisors of N Count(d(N)) σ(N) s(N) Prime or Composite Notes
20011, 3, 23, 29, 69, 87, 667, 200182880879CompositeDeficient
20021, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 20021640322030CompositeAbundant
20031, 2003220041PrimeDeficient
20041, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 20041247042700CompositeAbundant
20051, 5, 401, 200542412407CompositeDeficient
20061, 2, 17, 34, 59, 118, 1003, 2006832401234CompositeDeficient
20071, 3, 9, 223, 669, 200762912905CompositeDeficient
20081, 2, 4, 8, 251, 502, 1004, 2008837801772CompositeDeficient
20091, 7, 41, 49, 287, 200962394385CompositeDeficient
20101, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 20101648962886CompositeAbundant
20111, 2011220121PrimeDeficient
20121, 2, 4, 503, 1006, 2012635281516CompositeDeficient
20131, 3, 11, 33, 61, 183, 671, 201382976963CompositeDeficient
20141, 2, 19, 38, 53, 106, 1007, 2014832401226CompositeDeficient
20151, 5, 13, 31, 65, 155, 403, 201582688673CompositeDeficient
20161, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 20163665524536CompositeAbundant
20171, 2017220181PrimeDeficient
20181, 2, 1009, 2018430301012CompositeDeficient
20191, 3, 673, 201942696677CompositeDeficient
20201, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 20201242842264CompositeAbundant
20211, 43, 47, 20214211291CompositeDeficient
20221, 2, 3, 6, 337, 674, 1011, 2022840562034CompositeAbundant
20231, 7, 17, 119, 289, 202362456433CompositeDeficient
20241, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 20241643202296CompositeAbundant
20251, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 20251537511726CompositeDeficient
20261, 2, 1013, 2026430421016CompositeDeficient
20271, 2027220281PrimeDeficient
20281, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 20281851243096CompositeAbundant
20291, 2029220301PrimeDeficient
20301, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 20301643202290CompositeAbundant
20311, 3, 677, 203142712681CompositeDeficient
20321, 2, 4, 8, 16, 127, 254, 508, 1016, 20321039681936CompositeDeficient
20331, 19, 107, 203342160127CompositeDeficient
20341, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 20341244462412CompositeAbundant
20351, 5, 11, 37, 55, 185, 407, 203582736701CompositeDeficient
20361, 2, 4, 509, 1018, 2036635701534CompositeDeficient
20371, 3, 7, 21, 97, 291, 679, 2037831361099CompositeDeficient
20381, 2, 1019, 2038430601022CompositeDeficient
20391, 2039220401PrimeDeficient
20401, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 20403264804440CompositeAbundant
20411, 13, 157, 204142212171CompositeDeficient
20421, 2, 1021, 2042430661024CompositeDeficient
20431, 3, 9, 227, 681, 204362964921CompositeDeficient
20441, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 20441241442100CompositeAbundant
20451, 5, 409, 204542460415CompositeDeficient
20461, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 20461646082562CompositeAbundant
20471, 23, 89, 204742160113CompositeDeficient
20481, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 20481240952047CompositeDeficient
20491, 3, 683, 204942736687CompositeDeficient
20501, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 20501239061856CompositeDeficient
20511, 7, 293, 205142352301CompositeDeficient
20521, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 20522456003548CompositeAbundant
20531, 2053220541PrimeDeficient
20541, 2, 13, 26, 79, 158, 1027, 2054833601306CompositeDeficient
20551, 3, 5, 15, 137, 411, 685, 2055833121257CompositeDeficient
20561, 2, 4, 8, 257, 514, 1028, 2056838701814CompositeDeficient
20571, 11, 17, 121, 187, 205762394337CompositeDeficient
20581, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 20581648002742CompositeAbundant
20591, 29, 71, 205942160101CompositeDeficient
20601, 2, 4, 5, 10, 20, 103, 206, 412, 515, 1030, 20601243682308CompositeAbundant
20611, 3, 9, 229, 687, 206162990929CompositeDeficient
20621, 2, 1031, 2062430961034CompositeDeficient
20631, 2063220641PrimeDeficient
20641, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 20642054563392CompositeAbundant
20651, 5, 7, 35, 59, 295, 413, 206582880815CompositeDeficient
20661, 2, 1033, 2066431021036CompositeDeficient
20671, 3, 13, 39, 53, 159, 689, 206783024957CompositeDeficient
20681, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 20681240321964CompositeDeficient
20691, 2069220701PrimeDeficient
20701, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 20702456163546CompositeAbundant
20711, 19, 109, 207142200129CompositeDeficient
20721, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 20721645602488CompositeAbundant
20731, 3, 691, 207342768695CompositeDeficient
20741, 2, 17, 34, 61, 122, 1037, 2074833481274CompositeDeficient
20751, 5, 25, 83, 415, 207562604529CompositeDeficient
20761, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 20761248722796CompositeAbundant
20771, 31, 67, 20774217699CompositeDeficient
20781, 2, 1039, 2078431201042CompositeDeficient
20791, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 20791638401761CompositeDeficient
20801, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 20802452923212CompositeAbundant
20811, 2081220821PrimeDeficient
20821, 2, 3, 6, 347, 694, 1041, 2082841762094CompositeAbundant
20831, 2083220841PrimeDeficient
20841, 2, 4, 521, 1042, 2084636541570CompositeDeficient
20851, 3, 5, 15, 139, 417, 695, 2085833601275CompositeDeficient
20861, 2, 7, 14, 149, 298, 1043, 2086836001514CompositeDeficient
20871, 2087220881PrimeDeficient
20881, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 20882458503762CompositeAbundant
20891, 2089220901PrimeDeficient
20901, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 20901643202230CompositeAbundant
20911, 3, 17, 41, 51, 123, 697, 209183024933CompositeDeficient
20921, 2, 4, 523, 1046, 2092636681576CompositeDeficient
20931, 7, 13, 23, 91, 161, 299, 209382688595CompositeDeficient
20941, 2, 3, 6, 349, 698, 1047, 2094842002106CompositeAbundant
20951, 5, 419, 209542520425CompositeDeficient
20961, 2, 4, 8, 16, 131, 262, 524, 1048, 20961040921996CompositeDeficient
20971, 3, 9, 233, 699, 209763042945CompositeDeficient
20981, 2, 1049, 2098431501052CompositeDeficient
20991, 2099221001PrimeDeficient
21001, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 21003669444844CompositeAbundant